The generator matrix

 1  0  1  1  1  1  1  1 2X^2  1  0  1 2X^2  1 2X^2  0  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1 X^2+2X  1  1  1 2X^2+X  1  1  X  1 2X  1 X^2+2X  1  1  1 2X  1 2X^2+X  1  1  1  1 2X  1  1  1  1  1  X X^2+X  1  1  1  1 X^2+2X  1  1  1  1  1  1  1  1  1 2X X^2+2X  1  1  1  1  1  0 X^2+X  1
 0  1  1  2 2X^2 2X^2+2 2X^2+1  0  1  2  1 2X^2+2X+1  1 X+1  1  1 2X^2 2X^2+X+2 2X+2 2X^2 2X+1  0 X^2+X+1 X+2 2X^2+X+2 2X+2 2X^2+2X+2  2 2X^2+2X 2X^2+2X+1  1 X+1 X^2+X 2X^2+X  1  1 X^2+X X^2+X+1  1 2X 2X+1  1 2X^2+X  1  1  1 2X X+2 2X^2+X+2  1 X^2+2X  1 X^2+2X X^2+X X^2+X+1 2X^2+X  1 X^2+1 2X^2+2X+2 2X^2+2 2X^2+2X+2 2X+2  1  1 X^2+1  0 X+2 X^2+2  1 X^2+2X X^2+2X+1 X^2+X+2 X^2+1 X+1 X^2+1 X^2+2X+1 X^2+2X+1 2X  1  1 X^2+2X+2 X^2+2 X^2+2X+1 X^2+X 2X^2  1  1 2X^2+X+2
 0  0 2X X^2 X^2+X 2X^2+X 2X^2+2X X^2+2X  X X^2+2X X^2+2X 2X^2 X^2  X X^2+X 2X^2+2X 2X^2  0 2X^2+2X  X X^2 2X 2X^2+X 2X^2+X 2X^2+2X X^2 X^2+X  0 X^2+X 2X  X 2X^2+2X 2X X^2 2X^2  0  X  0 2X^2 X^2  X 2X^2+2X X^2+2X X^2+2X 2X^2+X X^2+X 2X X^2+2X X^2+X  X  X X^2+X X^2+2X 2X^2+X 2X^2 X^2+X 2X^2+2X X^2 2X^2 2X^2  0  X  0 X^2+2X X^2+X 2X^2 X^2  X X^2 2X^2+X X^2+X 2X^2+2X 2X^2 X^2 2X^2+2X X^2+2X 2X 2X^2+2X  0 2X^2+X X^2+2X X^2+X 2X^2+X X^2+2X 2X^2+2X 2X^2 2X^2 2X^2

generates a code of length 88 over Z3[X]/(X^3) who´s minimum homogenous weight is 171.

Homogenous weight enumerator: w(x)=1x^0+570x^171+666x^172+738x^173+1050x^174+558x^175+234x^176+756x^177+252x^178+234x^179+482x^180+342x^181+252x^182+270x^183+126x^184+4x^189+12x^192+14x^198

The gray image is a linear code over GF(3) with n=792, k=8 and d=513.
This code was found by Heurico 1.16 in 0.577 seconds.